This is hardly a Cryptic CW with 12 out of 29 clues as CD's, DD's & E's.
ACROSS
1 - Look at closely in critical appraisal (7) - INSPECT [DD]
5 - Maintains a rising pressure (7) - {A}{SSERTS<-}
10 - She lets Al around her as a guide (6) - STELLA* Why guide?
11 - Striking confession by an artist's model (8) - {I'M}{POSING}
12 - Pointed article for the medical profession to read (6) - LANCET [DD]
13 - Like set meals arranged for vegetarians (8) - MEATLESS*
14 - Finding myself, inter alia, with a girl (6) - {A{ME}LIA}
15 - Expenditure for striking place (6) - OUTLAY Anno pending. Striking place ?
20 - They have possession (6) - OWNERS [CD]
26 - What the theatre critic will expect to get as a perk (4,4) - FREE SEAT [CD]
27 - Ones with the severest degree of intellectual subnormality (6) - IDIOTS [CD]
28 - Stare at forms revealing a beautiful goddess (7) - ASTARTE*
29 - Some protective cover strangely lacking for a fabulous emperor (7) - CLOTHES [CD]
DOWN
2 - On Thursday, Anna arranged a meeting with him (6) - {NA{TH}AN*}
3 - One in blue could make mole panic (9) - POLICEMAN* Where does one see a policeman in Blue nowadays, at least in India?
4 - Firm having a last fling at a seashore (7) - {CO}{A}{STAL*}
6 - The singer, getting a concession, rushed round (7) - {SOP}{RAN}{O}
7 - Supporter of artistic work (5) - EASEL [CD]
8 - National of North African country bordered by Libya and Algeria (8) - TUNISIAN [E]
9 - The most popular member of the company? (4,9) - FIRM FAVOURITE [CD]
16 - A radical element? (9) - TERRORIST [CD]
17 - Respects free spirits (8) - SPECTRES*
19 - A line that goes direct to the outer circle (7) - TANGENT [CD]
22 - Not much at all (6) - LITTLE [E]
24 - After work is the time for entertainment (5) - {OP}{ERA}